Question

Given the relation, find its inverse and determine whether or not the function and its inverse are functions.

((-5,0), (-1, -2). (-2, 1), (0,4), (1, 2), (2, -1)}

A. The relation is a function, but the inverse is not.

B. The relation is not a function, but the inverse is.

C. Both the relation and inverse are functions.

D. Neither the relation nor the inverse are functions.

Answer 1

C; both the relation and inverse are functions

Explanation:

A function has no more than one output for a specific input, therefore, the original set of points is a function.

To find the inverse, you swap the x and y, so you would get:
(0, -5), (-2, -1), (1, -2), (4, 0), (2, 1), (-1, 2)

The inverse is also a function, because each input has only one output.

Answer 2

D. Neither the relation nor the inverse are functions